Abstract
We determine the shape which minimizes, among domains with given measure, the first eigenvalue of the anisotropic laplacian perturbed by an integral of the unknown function. Using also some properties related to the associated \lq\lq twisted\rq\rq problem, we show that, this problem displays a saturation phenomenon: the first eigenvalue increases with the weight up to a critical value and then remains constant.
Citation
Gianpaolo Piscitelli. "A nonlocal anisotropic eigenvalue problem." Differential Integral Equations 29 (11/12) 1001 - 1020, November/December 2016. https://doi.org/10.57262/die/1476369326
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